De Broghe wavelength

When charge carriers and excitations are confined in all three dimensions the system is called a QD. The division is somewhat arbitrary since, for instance, clusters composed of very few atoms are not necessarily considered as QDs. Although clusters are smaller than the De Broghe wavelength, their properties depend critically on their exact number of atoms. Large clusters have a well-defined lattice and their properties no longer depend critically on their exact number of atoms. With the term QDs, reference will be made to such systems [49, 50]. 

Now, substitute the mass of an N2 molecule and the root-mean-square velocity into the de Broghe eqiration to solve for the de Broghe wavelength of an N2 molecule. 

Find the average de Broghe wavelengths of an electron and a proton in a hydrogen atom in the = 1 state when the net speed of the entire atom is 2 10 m s ... 

Find the de Broghe wavelength of an electron travehng through free space with speed 6 10 m s the speed after acceleration from rest through a 1 V potential. 

Working in the years immediately after Davisson and Germer verified the wave character of electrons. Max KnoU and Ernst Ruska invented the electron microscope, a device that works on the same principle as the optical microscope but that manipulates the paths of electron beams to image the sample. At easily attainable speeds, the de Broghe wavelength of electrons drops to less than an angstrom, and the resolution hmit of the electron microscope is instead determined by our abhity to control... 

What is the de Broglie wavelength of an electron What determines the value of the de Broghe wavelength for an electron ... 

Because of the basebaH s large mass, its de Broghe wavelength is minuscule. (For a 150 g baseball, A is on the order of 10 m.) This minuscule wavelength is insignificant compared to the size of the baseball itself, and therefore its effects are not observable. 

J. The Heisenberg uncertainty principle for position and momentum in the same direction is 5x- p>h (recall that these uncertainties are inherent. We cannot reduce them by a better designed experiment). We cannot accept an uncertainty in position larger than b itself Hence derive a bound for die uncertainty in the de Broghe wavelength of the relative motion. 

---